{
  "id": "1712.01041",
  "version": "v1",
  "published": "2017-12-04T12:38:57.000Z",
  "updated": "2017-12-04T12:38:57.000Z",
  "title": "Interaction Between Singularity Theory and the Minimal Model Program",
  "authors": [
    "Chenyang Xu"
  ],
  "comment": "20 pages. Submitted to 2018 ICM",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "We survey some recent topics on singularities, with a focus on their connection to the minimal model program. This includes the construction and properties of dual complexes, the proof of the ACC conjecture for log canonical thresholds and the recent progress on the `local stability theory' of an arbitrary Kawamata log terminal singularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-04T12:38:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal model program",
      "singularity theory",
      "arbitrary kawamata log terminal singularity",
      "interaction",
      "local stability theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}